is 2 2918231 - 1
has 878476 decimal digits
takes 0.225 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA46F1BAFFEA76AFEdouble-checked
PRPC721BA31451CC49Everified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.425067.6471%50000002000000001.74989.1933%22.174870.6214%2.9743%
PrimeNet2590.026362.7119%130002600000.00303.0677%0.029363.8558%1.1439%
GPU722630.546965.0794%170003000000.00361.9437%0.550565.7581%0.6787%
Difference+5+19.8781+2.5677%+4983000+199700000+1.7462+7.2496%+21.6242+4.8633%+4.8633%

Known prime factors (1 factor, 76.2 bits, 0.00261099% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2918231864696214709705192421772376.19514815417537366048
25 × 462981798042689
2021-01-30324629817980426896,365.82,824,9545,276,228

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.246%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.145%
2010-11-13T11:54:00Jocelyn LaroucheManual testing1500015000---0.002--0.213%
2010-11-15T11:28:00markrtiny1050002283750---0.025--2.582%
2015-04-27T09:55:00VictordeHollanderManual testing100000020000000---0.228--5.537%
2020-04-02T14:02:20masserManual testing500000020000000012---1.750--9.193%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-14T12:28:00Sturle Sundekrebs.ifi260261--0.053--
2011-12-22T07:14:00Grant McCrackenhome261262--0.105--
2013-01-10T21:10:00dbaughManual testing262263--0.336--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.673--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.280--
2016-02-22T09:35:55ramgeisManual testing265266--2.561--
2017-11-19T23:57:51Gordon SpenceManual testing266267--5.121--
2018-12-18T01:52:41chuenkitManual testing267268--10.24--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.664 GHz-days
Estimated T-Level:2.700
DigitsB1CurvesCompleteFacMiss
201100054 / 1000.54058.117%
255000054 / 2800.19382.432%

New Calculation Method

Total ECM effort:5.664 GHz-days
Estimated T-Level:2.700
DigitsB1CompleteFacMiss
20110001.74217.518%
25500000.15785.433%
302500000.01099.035%


ECM Summary

B1B2factorcurvesGHz-days
500005000000535.559
50000500000010.105


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00Choi4KANGv4_computersA46F1BAFFEA76AFE0.225
2018-10-04T20:04:23kkmrkkblmbrbkoldA46F1BAFFEA76AFE0.225


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-30T22:25:29mrhw
86469621470970519242177
C721BA31451CC49Eno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-01-30T22:25:29+00:00